On weak commutativity in \(p\)-groups

DOI10.1515/jgth-2022-0165zbMath1526.20028OpenAlexW4380534693MaRDI QIDQ6060818

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Publication date: 6 November 2023

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgth-2022-0165

zbMATH Keywords

exponentnilpotency classSchur multiplierweak commutativity\(p\)-group

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

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• On weak commutativity in groups
• Schur multipliers and power endomorphisms of groups.
• Omega subgroups of pro-\(p\) groups.
• Diagonal embeddings of nilpotent groups
• On weak permutability between groups
• On weak commutativity between finite p-groups, p odd
• On the Schur multipliers of finite \(p\)-groups of given coclass.
• On the exponent of the weak commutativity group \(\chi (G)\)
• Non-abelian tensor square and related constructions of \(p\)-groups
• The unitary cover of a finite group and the exponent of the Schur multiplier.
• Weak commutativity and finiteness properties of groups

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